Karen A. Ames

876 total citations
34 papers, 674 citations indexed

About

Karen A. Ames is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, Karen A. Ames has authored 34 papers receiving a total of 674 indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Computational Theory and Mathematics, 14 papers in Applied Mathematics and 13 papers in Mathematical Physics. Recurrent topics in Karen A. Ames's work include Advanced Mathematical Modeling in Engineering (14 papers), Numerical methods in inverse problems (10 papers) and Stability and Controllability of Differential Equations (10 papers). Karen A. Ames is often cited by papers focused on Advanced Mathematical Modeling in Engineering (14 papers), Numerical methods in inverse problems (10 papers) and Stability and Controllability of Differential Equations (10 papers). Karen A. Ames collaborates with scholars based in United States, South Korea and United Kingdom. Karen A. Ames's co-authors include L. E. Payne, Brian Straughan, James F. Epperson, Philip Schaefer, Seth F. Oppenheimer, W.F. Ames, Junqiang Song and Victor Isakov and has published in prestigious journals such as Mathematics of Computation, SIAM Journal on Numerical Analysis and Journal of Mathematical Analysis and Applications.

In The Last Decade

Karen A. Ames

32 papers receiving 607 citations

Peers

Karen A. Ames

CTM

William J. Hrusa United States

Alemdar Hasanov Türkiye

Jenn‐Nan Wang Taiwan

Gaetano Fichera Italy

Lothar von Wolfersdorf Germany

Barbara Lazzari Italy

Ana L. Silvestre Portugal

Rodica Toader Italy

T. S. Angell United States

Marc Dambrine France

William J. Hrusa United States

Karen A. Ames

353 ×1.1

448 ×1.5

CTM

229 ×0.8

141 ×0.8

303 ×2.1

Citations per year, relative to Karen A. Ames Karen A. Ames (= 1×) peers William J. Hrusa

Countries citing papers authored by Karen A. Ames

Since Specialization

Citations

This map shows the geographic impact of Karen A. Ames's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Karen A. Ames with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Karen A. Ames more than expected).

Fields of papers citing papers by Karen A. Ames

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Karen A. Ames. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Karen A. Ames. The network helps show where Karen A. Ames may publish in the future.

Co-authorship network of co-authors of Karen A. Ames

This figure shows the co-authorship network connecting the top 25 collaborators of Karen A. Ames. A scholar is included among the top collaborators of Karen A. Ames based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Karen A. Ames. Karen A. Ames is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Ames, Karen A., L. E. Payne, & Junqiang Song. (2005). On two classes of nonstandard parabolic problems. Journal of Mathematical Analysis and Applications. 311(1). 254–267. 5 indexed citations

Ames, Karen A., L. E. Payne, & Philip Schaefer. (2004). Energy and pointwise bounds in some non-standard parabolic problems. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 134(1). 1–9. 28 indexed citations

Ames, Karen A., et al.. (2004). Structural Stability for Ill-Posed Problems in Banach Space. Semigroup Forum. 70(1). 127–145. 44 indexed citations

Ames, Karen A. & Brian Straughan. (1999). Stability and Newton's Law of Cooling in Double Diffusive Flow. Journal of Mathematical Analysis and Applications. 230(1). 57–69. 7 indexed citations

Ames, Karen A., et al.. (1998). A comparison of regularizations for an ill-posed problem. Mathematics of Computation. 67(224). 1451–1471. 69 indexed citations

Ames, Karen A. & L. E. Payne. (1998). ASYMPTOTIC BEHAVIOR FOR TWO REGULARIZATIONS OF THE CAUCHY PROBLEM FOR THE BACKWARD HEAT EQUATION. Mathematical Models and Methods in Applied Sciences. 8(1). 187–202. 37 indexed citations

Straughan, Brian & Karen A. Ames. (1997). Non-standard and improperly posed problems. CERN Document Server (European Organization for Nuclear Research). 108 indexed citations

Ames, Karen A., et al.. (1997). Continuous Dependence on Modeling for Related Cauchy Problems of a Class of Evolution Equations. Journal of Mathematical Analysis and Applications. 215(1). 15–31. 14 indexed citations

Ames, Karen A. & L. E. Payne. (1997). Continuous dependence results for a problem in penetrative convection. Quarterly of Applied Mathematics. 55(4). 769–790. 13 indexed citations

10.

Ames, Karen A. & James F. Epperson. (1997). A Kernel-based Method for the Approximate Solution of Backward Parabolic Problems. SIAM Journal on Numerical Analysis. 34(4). 1357–1390. 59 indexed citations

11.

Ames, Karen A. & Brian Straughan. (1995). Estimates of the Error in the Initial-Time Geometry for a Parabolic Equation from Dynamo Theory. Journal of Differential Equations. 123(1). 153–170. 3 indexed citations

12.

Ames, Karen A. & Brian Straughan. (1995). Boundedness and Global Nonexistence for a Nonlinear Convective Parabolic-System. Journal of Mathematical Analysis and Applications. 190(3). 795–805. 3 indexed citations

13.

Ames, Karen A. & L. E. Payne. (1995). Continuous Dependence on Initial-Time Geometry for a Thermoelastic System with Sign-Indefinite Elasticities. Journal of Mathematical Analysis and Applications. 189(3). 693–714. 16 indexed citations

14.

Ames, Karen A. & L. E. Payne. (1994). ON STABILIZING AGAINST MODELING ERRORS IN A PENETRATIVE CONVECTION PROBLEM FOR A POROUS MEDIUM. Mathematical Models and Methods in Applied Sciences. 4(5). 733–740. 33 indexed citations

15.

Ames, Karen A. & L. E. Payne. (1989). Decay Estimates in Steady Pipe Flow. SIAM Journal on Mathematical Analysis. 20(4). 789–815. 45 indexed citations

16.

Ames, Karen A. & W.F. Ames. (1985). Analysis of the von Karman equations by group methods. International Journal of Non-Linear Mechanics. 20(4). 201–209. 4 indexed citations

17.

Ames, Karen A.. (1984). Uniqueness and continuous dependence results for solutions of singular differential equations. Journal of Mathematical Analysis and Applications. 103(1). 172–183. 4 indexed citations

18.

Ames, Karen A.. (1982). Comparison results for related properly and improperly posed Cauchy problems for second-order operator equations. Journal of Differential Equations. 44(3). 383–399. 1 indexed citations

19.

Ames, Karen A.. (1982). On the Comparison of Solutions of Related Properly and Improperly Posed Cauchy Problems for First Order Operator Equations. SIAM Journal on Mathematical Analysis. 13(4). 594–606. 11 indexed citations

20.

Ames, Karen A. & W.F. Ames. (1982). On group analysis of the von Kármán equations. Nonlinear Analysis. 6(8). 845–853. 16 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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